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Write the net biochemical equation for the metabolism of a molecule of glucose by glycolysis and the citric acid cycle, including all cofactors.

Short Answer

Expert verified
The net equation is \( \text{C}_6\text{H}_{12}\text{O}_6 + 10 \text{NAD}^+ + 2 \text{FAD} + 4 \text{ADP} + 4 \text{P}_i + 4 \text{H}_2\text{O} \rightarrow 6 \text{CO}_2 + 10 \text{NADH} + 2 \text{FADH}_2 + 4 \text{ATP} + 10 \text{H}^+ \).

Step by step solution

01

Write the Glycolysis Equation

Glycolysis is the metabolic pathway that converts glucose into pyruvate, producing ATP and NADH as energy carriers. The net equation for glycolysis is: \[ \text{C}_6\text{H}_{12}\text{O}_6 + 2 \text{NAD}^+ + 2 \text{ADP} + 2 \text{P}_i \rightarrow 2 \text{C}_3\text{H}_4\text{O}_3 + 2 \text{NADH} + 2 \text{ATP} + 2 \text{H}_2\text{O} + 2 \text{H}^+ \] Here, \(\text{C}_6\text{H}_{12}\text{O}_6\) represents glucose, and \(\text{C}_3\text{H}_4\text{O}_3\) represents pyruvate.
02

Write the Pyruvate Oxidation Equation

Before entering the citric acid cycle, pyruvate is oxidized to acetyl-CoA. Each pyruvate molecule produces one acetyl-CoA, NADH, and \(\text{CO}_2\). The equation for this conversion is: \[ \text{C}_3\text{H}_4\text{O}_3 + \text{NAD}^+ + \text{CoA} \rightarrow \text{Acetyl-CoA} + \text{NADH} + \text{CO}_2 \] Since two pyruvates are produced per glucose molecule, double the outputs for one glucose.
03

Write the Citric Acid Cycle Equation

The citric acid cycle processes acetyl-CoA to produce ATP, NADH, \(\text{FADH}_2\), and \(\text{CO}_2\). With two acetyl-CoA (from one glucose), the total outputs per glucose are: \[ 2 \text{Acetyl-CoA} + 6 \text{NAD}^+ + 2 \text{FAD} + 2 \text{GDP} + 2 \text{P}_i + 4 \text{H}_2\text{O} \rightarrow 4 \text{CO}_2 + 6 \text{NADH} + 2 \text{FADH}_2 + 2 \text{GTP} + 4 \text{H}^+ + 2 \text{CoA} \] \(\text{GTP}\) is often considered equivalent to \(\text{ATP}\) in cellular uses.
04

Combine Equations for Full Metabolism

Combine all the steps to write the full net equation for the metabolism of one glucose molecule. Adding up all reactants and products from glycolysis, pyruvate oxidation, and the citric acid cycle, the net reaction becomes: \[ \text{C}_6\text{H}_{12}\text{O}_6 + 10 \text{NAD}^+ + 2 \text{FAD} + 4 \text{ADP} + 4 \text{P}_i + 4 \text{H}_2\text{O} \rightarrow 6 \text{CO}_2 + 10 \text{NADH} + 2 \text{FADH}_2 + 4 \text{ATP} + 10 \text{H}^+ \] This equation represents the complete aerobic oxidation of glucose in biological systems.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Glycolysis
Glycolysis is the first stage of aerobic glucose metabolism, where a single molecule of glucose ( C_6H_{12}O_6 ) is broken down into two molecules of pyruvate ( C_3H_4O_3 ). This process occurs in the cytoplasm of the cell and does not require oxygen, making it an anaerobic process. However, it is crucial for aerobic metabolism because it provides the initial substrates for further pathways.
During glycolysis, energy is extracted in the form of ATP and NADH. Specifically, two molecules of ATP are used up in the early steps to energize glucose, and four ATP molecules are produced later, which results in a net gain of two ATP molecules per glucose molecule. Additionally, two molecules of NAD^+ are reduced to NADH, capturing high-energy electrons for use in further stages of metabolism.
Key Points:
  • Splits one glucose into two pyruvate
  • Net gain of 2 ATP and 2 NADH
  • Occurs in the cytoplasm and is anaerobic
Citric Acid Cycle
The Citric Acid Cycle, also known as the Krebs cycle or TCA cycle, is a series of chemical reactions used by all aerobic organisms to release stored energy through the oxidation of acetyl-CoA derived from carbohydrates, fats, and proteins. This cycle takes place in the mitochondria of cells.
In this cycle, each acetyl-CoA combines with a four-carbon molecule, oxaloacetate, to form a six-carbon citrate molecule. Through a series of reactions, this citrate molecule is broken down again to oxaloacetate, releasing two molecules of CO_2 , and transferring energy to the carrier molecules NAD^+ and FAD, forming NADH and FADH_2.
Summary of Outputs:
  • Produces 2 CO_2 molecules per acetyl-CoA
  • Generates 3 NADH, 1 FADH_2, and 1 GTP or ATP per cycle
  • Cycle completes twice per glucose molecule because one glucose creates two acetyl-CoA
Pyruvate Oxidation
Before pyruvate can enter the Citric Acid Cycle, it must first be converted into acetyl-CoA, a critical junction point for cellular respiration. This conversion occurs in the mitochondrion, involving decarboxylation, which removes one carbon from pyruvate as CO_2 .
The pyruvate is then oxidized, transferring electrons to NAD^+ to form NADH. The remaining two-carbon fragment is linked to coenzyme A, forming acetyl-CoA. This step is crucial, linking glycolysis to the Citric Acid Cycle and thus connecting carbohydrate metabolism to the electron transport chain.
Key Reactions:
  • One CO_2 is released per pyruvate
  • Produces 1 NADH per pyruvate
  • Forms 1 acetyl-CoA per pyruvate, which feeds into the Citric Acid Cycle
  • Occurs in the mitochondria before the Citric Acid Cycle

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Most popular questions from this chapter

Although oxygen does not participate directly in the citric acid cycle, the cycle operates only when \(\mathrm{O}_{2}\) is present. Why?

The metabolic pathways of organic compounds have often been delineated by using a radioactively labeled substrate and following the fate of the label. (a) How can you determine whether glucose added to a suspension of isolated mitochondria is metabolized to \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O} ?\) (b) Suppose you add a brief pulse of \(\left[3-^{14} \mathrm{C}\right]\) pyruvate (labeled in the methyl position) to the mitochondria. After one turn of the citric acid cycle, what is the location of the \(^{14} \mathrm{C}\) in the oxaloacetate? Explain by tracing the \(^{14} \mathrm{C}\) label through the pathway. How many turns of the cycle are required to release all the \(\left[3^{-14} \mathrm{C}\right]\) pyruvate as \(\mathrm{CO}_{2} ?\)

How would you expect the operation of the citric acid cycle to respond to a rapid increase in the \(\left.[\mathrm{NADH}] / \mathrm{NAD}^{+}\right]\) ratio in the mitochondrial matrix? Why?

A eukaryotic cell can use glucose \(\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)\) and hexanoic acid \(\left(\mathrm{C}_{6} \mathrm{H}_{14} \mathrm{O}_{2}\right)\) as fuels for cellular respiration. On the basis of their structural formulas, which substance releases more energy per gram on complete combustion to \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O} ?\)

In the early 1930 s, Albert Szent-Györgyi reported the interesting observation that the addition of small amounts of oxaloacetate or malate to suspensions of minced pigeon breast muscle stimulated the oxygen consumption of the preparation. Surprisingly, the amount of oxygen consumed was about seven times more than the amount necessary for complete oxidation (to \(\mathrm{CO}_{2}\) and \(\mathrm{H}_{2} \mathrm{O}\) ) of the added oxaloacetate or malate. Why did the addition of oxaloacetate or malate stimulate oxygen consumption? Why was the amount of oxygen consumed so much greater than the amount necessary to completely oxidize the added oxaloacetate or malate?

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